Converting 57.4928 to a Fraction
Step-by-step explanation of how to convert 57.4928 to a fraction
Result
57.4928 =
35933
625
Mixed number:
57
308
625
Step 1: Identify the number of decimal places
The decimal 57.4928 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
57.4928 × 10000 = 574928
Step 3: Write as a fraction
57.4928 =
574928
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 574928 and 10000.
GCD(574928, 10000) = 16
Divide both the numerator and denominator by the GCD:
574928
10000
=
574928 ÷ 16
10000 ÷ 16
=
35933
625
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